Question -
Answer -
Given:
The equation whichmakes an angle of tan – 1(3) with the x–axis and cuts off anintercept of 4 units on the negative direction of y–axis
By using the formula,
The equation of theline is y = mx + c
Here,angle θ = tan – 1(3)
So, tan θ = 3
The slope of the lineis, m = 3
And, Intercept in thenegative direction of y–axis is (0, -4)
The required equationof the line is y = mx + c
Now, substitute thevalues, we get
y = 3x – 4
∴ The equation of theline is y = 3x – 4.